Question:

Two surveyors, P and Q measured a 20 m distance six times each, as given below (in m):
Surveyor P: 19.97, 20.02, 20.04, 19.98, 19.96, 20.03
Surveyor Q: 20.05, 20.07, 20.05, 20.06, 20.07, 20.07
On the basis of accuracy and precision of the measured values, choose the CORRECT statement.

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When evaluating accuracy and precision, remember that accuracy measures closeness to the true value, while precision measures consistency between repeated measurements.
Updated On: Dec 1, 2025
  • Observed values of Surveyor P are less precise and observed values of Surveyor Q are more accurate.
  • Observed values of Surveyor P are more precise and observed values of Surveyor Q are less accurate.
  • Observed values of Surveyor P are more accurate and observed values of Surveyor Q are more precise.
  • Observed values of Surveyor P are less accurate and observed values of Surveyor Q are less precise.
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The Correct Option is D

Solution and Explanation

Step 1: Understanding accuracy and precision. - Accuracy refers to how close the measured values are to the true value.
- Precision refers to how close the measurements are to each other, regardless of whether they are close to the true value or not.
Step 2: Analyzing Surveyor P's measurements. Surveyor P's measurements range from 19.96 to 20.04. These values are quite spread out, indicating that the measurements are not very precise. The measurements fluctuate more significantly, suggesting lower precision.
Step 3: Analyzing Surveyor Q's measurements. Surveyor Q's measurements are much closer together, ranging from 20.05 to 20.07. This small variation indicates high precision, as the values are consistent. However, these values are consistently higher than 20, so they are not as accurate as they are offset from the true value.
Step 4: Conclusion. Based on the analysis, Surveyor P’s measurements are less precise due to the greater variation between values, and Surveyor Q’s measurements are more precise (consistent) but less accurate since the measurements consistently overestimate the true value.
Thus, the correct answer is (D).
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